#pragma GCC target("avx2")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
//#include <atcoder/all>
using namespace std;
//using namespace atcoder;
#define DEBUG
#ifdef DEBUG
template <class T, class U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
    os << '(' << p.first << ',' << p.second << ')';
    return os;
}
template <class T> ostream &operator<<(ostream &os, const vector<T> &v) {
    os << '{';
    for(int i = 0; i < (int)v.size(); i++) {
        if(i) { os << ','; }
        os << v[i];
    }
    os << '}';
    return os;
}
void debugg() { cerr << endl; }
template <class T, class... Args>
void debugg(const T &x, const Args &... args) {
    cerr << " " << x;
    debugg(args...);
}
#define debug(...)                                                             \
    cerr << __LINE__ << " [" << #__VA_ARGS__ << "]: ", debugg(__VA_ARGS__)
#define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl
#else
#define debug(...) (void(0))
#define dump(x) (void(0))
#endif
using namespace std;
typedef long long ll;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<char> vc;
typedef vector<string> vs;
typedef vector<bool> vb;
typedef vector<double> vd;
typedef pair<ll,ll> P;
typedef pair<int,int> pii;
typedef vector<P> vpl;
typedef tuple<ll,ll,ll> tapu;
#define rep(i,n) for(int i=0; i<(n); i++)
#define REP(i,a,b) for(int i=(a); i<(b); i++)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
const int inf = (1<<30) - 1;
const ll linf = 1LL<<61;
const int MAX = 510000;
int dy[8] = {0,1,0,-1,1,-1,-1,1};
int dx[8] = {-1,0,1,0,1,-1,1,-1};
const double pi = acos(-1);
const double eps = 1e-7;
template<typename T1,typename T2> inline bool chmin(T1 &a,T2 b){
	if(a>b){
		a = b; return true;
	}
	else return false;
}
template<typename T1,typename T2> inline bool chmax(T1 &a,T2 b){
	if(a<b){
		a = b; return true;
	}
	else return false;
}
template<typename T> inline void print(T &a){
    int sz = a.size();
    for(auto itr = a.begin(); itr != a.end(); itr++){
		cout << *itr;
        sz--;
        if(sz) cout << " ";
	}
    cout << "\n";
}
template<typename T1,typename T2> inline void print2(T1 a, T2 b){
	cout << a << " " << b << "\n";
}
template<typename T1,typename T2,typename T3> inline void print3(T1 a, T2 b, T3 c){
	cout << a << " " << b << " " << c << "\n";
}
void mark() {cout << "#" << "\n";}
ll pcount(ll x) {return __builtin_popcountll(x);}
//const int mod = 1e9 + 7;
const int mod = 998244353;

ll GCD(ll a, ll b){
    if(b==0) return a;
    else return GCD(b,a%b);
}

ll LCM(ll a, ll b){
    return a/GCD(a,b)*b;
}

long long extGCD(long long a, long long b, long long &x, long long &y) {
    if (b == 0) {
        x = 1;
        y = 0;
        return a;
    }
    long long d = extGCD(b, a%b, y, x);
    y -= a/b * x;
    return d;
}

int main(){
    int t; cin >> t;
    while(t--){
        vl a(3); rep(i,3) cin >> a[i];
        ll Y; cin >> Y;
        REP(i,1,3){
            if(Y / a[i] <= 1000000){
                swap(a[0], a[i]); break;
            }
        }
        ll lc = LCM(a[1], a[2]);
        ll gc = GCD(a[1], a[2]);
        vl b(3); b[1] = a[1]/gc, b[2] = a[2]/gc;
        ll ans = 0;
        ll x,y;
        extGCD(a[1], a[2], x, y);
        for(ll i=0; i*a[0]<=Y; i++){
            //cout << i << "\n";
            ll rest = Y - i*a[0];
            if(rest % gc != 0) continue;
            if(rest == 0){
                ans++;
                break;
            }
            ll tmp = rest / gc;
            x *= tmp;
            y *= tmp;
            //cout << x << " " << y << "\n";
            //cout << b[1] << " " << b[2] << "\n";
            swap(x,y);
            ll k,t;
            if(x >= 0){
                k = x / b[1];
                if(y < 0) t = (y - b[2] + 1) / b[2];
                else t = y / b[2];
                ans += k + t + 1;
            }else{
                k = (x - b[1] + 1) / b[1];
                if(y < 0) t = (y - b[2] + 1) / b[2];
                else t = y / b[2];
                ans += k + t + 1;
            }
            swap(x,y);
            x /= tmp;
            y /= tmp;
            //cout << k << " " << t << "\n";
        }
        cout << ans << "\n";
    }
}